What is the Least Common Multiple of 27561 and 27581?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 27561 and 27581 is 760159941.
LCM(27561,27581) = 760159941
Least Common Multiple of 27561 and 27581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27561 and 27581, than apply into the LCM equation.
GCF(27561,27581) = 1
LCM(27561,27581) = ( 27561 × 27581) / 1
LCM(27561,27581) = 760159941 / 1
LCM(27561,27581) = 760159941
Least Common Multiple (LCM) of 27561 and 27581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27561 and 27581. First we will calculate the prime factors of 27561 and 27581.
Prime Factorization of 27561
Prime factors of 27561 are 3, 9187. Prime factorization of 27561 in exponential form is:
27561 = 31 × 91871
Prime Factorization of 27581
Prime factors of 27581 are 27581. Prime factorization of 27581 in exponential form is:
27581 = 275811
Now multiplying the highest exponent prime factors to calculate the LCM of 27561 and 27581.
LCM(27561,27581) = 31 × 91871 × 275811
LCM(27561,27581) = 760159941
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